On high resolution panels, the image is sent in two parts. If EXACTLY half your screen is going bad, you've probably just got a bad connection at the input cable.
As for trace repair, yeah, just tack a jumper down over it if you can find the bad spot. The shorter your jumper, the better. If you're concerned about high speed, try to make your jumper follow the path of the original. The impedance still won't be right, but it'll probably be fine.
I repair tiny stuff on high density SMT boards all the time. It just takes a steady hand, a good iron (small tips are helpful but not required, believe it or not - good temperature control and sufficient power are more important), tiny wire, and some practice are all it takes. I routinely rework stuff so small I can't see it clearly without some magnification, and I've got better than 20/20 uncorrected vision.